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Author: Georgi E. Shilov
Publisher: Courier Corporation
Published: 1996-01-01
Total Pages: 548
ISBN-13: 9780486689227
DOWNLOAD EBOOKExcellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.
Author: Rajnikant Sinha
Publisher: Springer
Published: 2018-11-04
Total Pages: 645
ISBN-13: 9811309388
DOWNLOAD EBOOKThis is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.
Author: Richard A. Silverman
Publisher: Courier Corporation
Published: 1984-01-01
Total Pages: 308
ISBN-13: 9780486647623
DOWNLOAD EBOOKThe basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.
Author: Henri Cartan
Publisher: Courier Corporation
Published: 2013-04-22
Total Pages: 242
ISBN-13: 0486318672
DOWNLOAD EBOOKBasic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Author: Richard A. Silverman
Publisher: Courier Corporation
Published: 2013-04-15
Total Pages: 402
ISBN-13: 0486318524
DOWNLOAD EBOOKShorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.
Author: Rajnikant Sinha
Publisher: Springer
Published: 2018-11-22
Total Pages: 688
ISBN-13: 9811328862
DOWNLOAD EBOOKThis is the second volume of the two-volume book on real and complex analysis. This volume is an introduction to the theory of holomorphic functions. Multivalued functions and branches have been dealt carefully with the application of the machinery of complex measures and power series. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into four chapters, it discusses holomorphic functions and harmonic functions, Schwarz reflection principle, infinite product and the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard’s little theorem. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.
Author: Kenneth A. Ross
Publisher: CUP Archive
Published: 2014-01-15
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKAuthor: Michael J. Schramm
Publisher: Courier Corporation
Published: 2012-05-11
Total Pages: 386
ISBN-13: 0486131920
DOWNLOAD EBOOKThis text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.
Author: Bernard R. Gelbaum
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 490
ISBN-13: 1461209250
DOWNLOAD EBOOKThis text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.
Author: Jerrold E. Marsden
Publisher: Macmillan
Published: 1993-03-15
Total Pages: 760
ISBN-13: 9780716721055
DOWNLOAD EBOOKDesigned for courses in advanced calculus and introductory real analysis, Elementary Classical Analysis strikes a careful balance between pure and applied mathematics with an emphasis on specific techniques important to classical analysis without vector calculus or complex analysis. Intended for students of engineering and physical science as well as of pure mathematics.
